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22211001030 = 23547163241401
BaseRepresentation
bin10100101011111000…
…001111101011000110
32010022220220202110210
4110223320033223012
5330442004013110
614111550500250
71414260252021
oct245370175306
963286822423
1022211001030
1194685928a9
12437a504686
13212c78b67a
141109bc81b8
1589ee0c520
hex52be0fac6

22211001030 has 128 divisors (see below), whose sum is σ = 55139014656. Its totient is φ = 5723136000.

The previous prime is 22211001019. The next prime is 22211001037. The reversal of 22211001030 is 3010011222.

It is a super-2 number, since 2×222110010302 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22211000997 and 22211001015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211001037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55388830 + ... + 55389230.

It is an arithmetic number, because the mean of its divisors is an integer number (430773552).

Almost surely, 222211001030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22211001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27569507328).

22211001030 is an abundant number, since it is smaller than the sum of its proper divisors (32928013626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22211001030 is a wasteful number, since it uses less digits than its factorization.

22211001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22211001030 its reverse (3010011222), we get a palindrome (25221012252).

The spelling of 22211001030 in words is "twenty-two billion, two hundred eleven million, one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 163 235 241 282 326 401 470 482 489 705 723 802 815 978 1203 1205 1410 1446 1630 2005 2406 2410 2445 3615 4010 4890 6015 7230 7661 11327 12030 15322 18847 22654 22983 33981 37694 38305 39283 45966 56541 56635 65363 67962 76610 78566 94235 96641 113082 113270 114915 117849 130726 169905 188470 193282 196089 196415 229830 235698 282705 289923 326815 339810 392178 392830 483205 565410 579846 589245 653630 966410 980445 1178490 1449615 1846301 1960890 2899230 3072061 3692602 4542127 5538903 6144122 9084254 9216183 9231505 11077806 13626381 15360305 15752483 18432366 18463010 22710635 27252762 27694515 30720610 31504966 45421270 46080915 47257449 55389030 68131905 78762415 92161830 94514898 136263810 157524830 236287245 472574490 740366701 1480733402 2221100103 3701833505 4442200206 7403667010 11105500515 22211001030